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Finding the Third Proportional to 8,751 and 11,425.50

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Solution

The third proportional to 8,751 and 11,425.50 is: 14,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751 : 11,425.50 = 11,425.50 : x
  2. Step 2: Convert to fraction form
    8,751/11,425.50 = 11,425.50/x
  3. Step 3: Cross multiply
    8,751x = 11,425.50 × 11,425.50
  4. Step 4: Simplify right side
    8,751x = 130,542,050.25
  5. Step 5: Solve for x
    x = 130,542,050.25/8,751
  6. Step 6: Final answer
    x = 14,917.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.